Discrete Geometry for Computer Imagery

Discrete Geometry for Computer Imagery.- Topological Digital Topology.- Fuzzy Spatial Relationships from Mathematical Morphology for Model-Based Pattern Recognition and Spatial Reasoning.- Shape Similarity and Visual Parts.- On the Morphological Processing of Objects with Varying Local Contrast.- Watershed Algorithms and Contrast Preservation.- Digital Flatness.- Shape Preserving Digitization of Ideal and Blurred Binary Images.- Towards Digital Cohomology.- New Results about Digital Intersections.- On Local Definitions of Length of Digital Curves.- Characterising 3D Objects by Shape and Topology.- Homotopic Transformations of Combinatorial Maps.- Combinatorial Topologies for Discrete Planes.- Convex Structuring Element Decomposition for Single Scan Binary Mathematical Morphology.- Designing the Lattice for Log-Polar Images.- On Colorations Induced by Discrete Rotations.- Binary Shape Normalization Using the Radon Transform.- 3D Shape Matching through Topological Structures.- Contour-Based Shape Representation for Image Compression and Analysis.- Systematized Calculation of Optimal Coefficients of 3-D Chamfer Norms.- Look-Up Tables for Medial Axis on Squared Euclidean Distance Transform.- Discrete Frontiers.- Towards an Invertible Euclidean Reconstruction of a Discrete Object.- Reconstruction of Discrete Surfaces from Shading Images by Propagation of Geometric Features.- Shape Representation and Indexing Based on Region Connection Calculus and Oriented Matroid Theory.- Incremental Algorithms Based on Discrete Green Theorem.- Using 2D Topological Map Information in a Markovian Image Segmentation.- Topology Preservation and Tricky Patterns in Gray-Tone Images.- Shortest Route on Height Map Using Gray-Level Distance Transforms.- On the Use of Shape Primitives for Reversible Surface Skeletonization.- d-Dimensional Reverse Euclidean Distance Transformation and Euclidean Medial Axis Extraction in Optimal Time.- Efficient Computation of 3D Skeletons by Extreme Vertex Encoding.- Surface Area Estimation of Digitized Planes Using Weighted Local Configurations.- Surface Area Estimation in Practice.- Perimeter and Area Estimations of Digitized Objects with Fuzzy Borders.- Geodesic Object Representation and Recognition.- A Fast Algorithm for Reconstructing hv-Convex 8-Connected but Not 4-Connected Discrete Sets.- Stability in Discrete Tomography: Linear Programming, Additivity and Convexity.- Removal and Contraction for n-Dimensional Generalized Maps.- The Generation of N Dimensional Shape Primitives.- Geometric Measures on Arbitrary Dimensional Digital Surfaces.- Nonlinear Optimization for Polygonalization.- A Representation for Abstract Simplicial Complexes: An Analysis and a Comparison.- A Computation of a Crystalline Flow Starting from Non-admissible Polygon Using Expanding Selfsimilar Solutions.- Morphological Image Reconstruction with Criterion from Labelled Markers.- Intertwined Digital Rays in Discrete Radon Projections Pooled over Adjacent Prime SizedArrays.- Power Law Dependencies to Detect Regions of Interest.- Speed Up of Shape from Shading Using Graduated Non-convexity.- Tissue Reconstruction Based on Deformation of Dual Simplex Meshes.- Spherical Object Reconstruction Using Simplex Meshes from Sparse Data.- A System for Modelling in Three-Dimensional Discrete Space.- Interactively Visualizing 18-Connected Object Boundaries in Huge Data Volumes.